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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 887–890
(Mi semr532)
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Geometry and topology
On Willmore Surfaces of Revolution in $\mathbb{R}^3$
S. M. Cherosovaa, E. I. Shamaevba
a Research Institute of Mathematics of North-Eastern Federal University named after M. K. Amosov
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
In this paper, we study Euler–Lagrange equation for the Willmore functional in the case of surfaces of revolution. Explicit solutions are constructed in terms of elliptic functions.
Keywords:
Willmore surface, exact solution.
Received November 14, 2014, published December 1, 2014
Citation:
S. M. Cherosova, E. I. Shamaev, “On Willmore Surfaces of Revolution in $\mathbb{R}^3$”, Sib. Èlektron. Mat. Izv., 11 (2014), 887–890
Linking options:
https://www.mathnet.ru/eng/semr532 https://www.mathnet.ru/eng/semr/v11/p887
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| Abstract page: | 156 | | Full-text PDF : | 64 | | References: | 44 |
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